Hello, anfieldgirl!

This is a Differential Equation problem.

. . We must solve it accordingly.

Derive the logistic growth equation.

. .

Answer: .

We have: .

Separate variables: .

On the left, use Partial Fraction Decomposition:

. .

Integrate: .

. . Then: .

We have: .

. .

Then: .

Divide top and bottom by

Then use the initial condition to evaluate